A hierarchy of Hamiltonian lattice equations associated with the relativistic Toda type system
type: Item
instance of: scholarly article
title: A hierarchy of Hamiltonian lattice equations associated with the relativistic Toda type system
zbMATH Open document ID: 1231.37036
author: Ding Shen
author: Li-Li Zhu
author: H. X. Yang
published in: Physics Letters. A
publication date: 2012-02-13T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 58J53
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 16E35
zbMATH DE Number: 6006130
zbMATH Keywords: discrete iso-spectral problem
zbMATH Keywords: semi-direct sum of Lie algebras
zbMATH Keywords: generalized trace identity
zbMATH Keywords: Hamiltonian structure
zbMATH Keywords: Liouville integrability
MaRDI profile type: Publication
full work available at URL: j.physleta.2009.05.048
OpenAlex ID: W1989003951
cites work: Nonlinear differential−difference equations
cites work: Pfaffianization of the two-dimensional Toda lattice
cites work: A new integrable symplectic map associated with lattice soliton equations
cites work: Soliton solutions by Darboux transformation for a Hamiltonian lattice system
cites work: Integrable theory of the perturbation equations.
cites work: Integrable couplings of vector AKNS soliton equations
cites work: Semi-direct sums of Lie algebras and continuous integrable couplings
cites work: A discrete variational identity on semi-direct sums of Lie algebras
cites work: Constructing integrable coupling systems of Hamiltonian lattice equations using semi-direct sums of Lie algebras
cites work: New integrable systems related to the relativistic Toda lattice
cites work: A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings
cites work: On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization
cites work: Construction of dKP and BKP equations with self-consistent sources
DOI: 10.1016/J.PHYSLETA.2009.05.048
Recommended article: A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions
Recommended article: Integrable relativistic Toda type lattice hierarchies, associated coupling systems and the Darboux transformation
Recommended article: Lattice equations, hierarchies and Hamiltonian structures. III: The 2D Toda and KP hierarchies
Recommended article: A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory
Recommended article: Integrable couplings of relativistic Toda lattice systems in polynomial form and rational form, their hierarchies and bi-Hamiltonian structures
Recommended article: Master symmetries and bi-Hamiltonian structures for the relativistic Toda lattice
Recommended article: A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
Recommended article: Lattice equations, hierarchies and Hamiltonian structures
Recommended article: New integrable systems related to the relativistic Toda lattice
Recommended article: A Darboux transformation and an exact solution for the relativistic Toda lattice equation
description: scientific article; zbMATH DE number 6006130